SLPA managing director Nihal Keppetipola said improved security after the end of the war has created a conducive climate for a boom in tourism.
The Discovery ship’s call follows that of one by Louise Cruise Lines in recent weeks, he said.
The global cruise industry is the fastest growing sector of the travel industry.
Tourist arrivals in Sri Lanka have increased sharply since the end of the war in May when government forces defeated the Tamil Tiger separatists.
Voyages of Discovery was formerly known as Discovery World Cruises.
The line seeks to serve a "soft adventure" niche for travelers who not only crave adventure, but also love the comforts and amenities of traditional cruising aboa